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Finding the Third Proportional to 689,853,740 and 1,034,527,240

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Solution

The third proportional to 689,853,740 and 1,034,527,240 is: 1,551,410,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,853,740 : 1,034,527,240 = 1,034,527,240 : x
  2. Step 2: Convert to fraction form
    689,853,740/1,034,527,240 = 1,034,527,240/x
  3. Step 3: Cross multiply
    689,853,740x = 1,034,527,240 × 1,034,527,240
  4. Step 4: Simplify right side
    689,853,740x = 1,070,246,610,302,017,536
  5. Step 5: Solve for x
    x = 1,070,246,610,302,017,536/689,853,740
  6. Step 6: Final answer
    x = 1,551,410,898.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.